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pro vyhledávání: '"Miguel Angel Javaloyes"'
The main result in this paper is the generalisation of the fundamental equations of a Riemannian submersion presented in the 1966 article by Barrett O'Neill to the context of pseudo-Finsler submersions. In the meantime, we also explore some basic pro
Externí odkaz:
http://arxiv.org/abs/2208.04839
Publikováno v:
Topological Methods in Nonlinear Analysis. :1-21
We consider a geodesic problem in a manifold endowed with a Randers-Kropina metric. This is a type of a singular Finsler metric arising both in the description of the lightlike vectors of a spacetime endowed with a causal Killing vector field and in
Autor:
Matthieu Huber, Miguel Angel Javaloyes
Publikováno v:
Annali di Matematica Pura ed Applicata (1923 -).
The main result in this paper is the generalisation of the fundamental equations of a Riemannian submersion presented in the 1966 article by O’Neill (Michigan Math J 13:459–469, 1966) to the context of pseudo-Finsler submersions. In the meantime,
Autor:
Matthieu Huber, Miguel Angel Javaloyes
Publikováno v:
Results in Mathematics. 77
The main result of this paper is an expression of the flag curvature of a submanifold of a Randers–Minkowski space $$({\mathscr {V}},F)$$ ( V , F ) in terms of invariants related to its Zermelo data (h, W). More precisely, these invariants are the
Publikováno v:
Universe, Vol 6, Iss 55, p 55 (2020)
Digibug. Repositorio Institucional de la Universidad de Granada
instname
Universe
Volume 6
Issue 4
Digibug: Repositorio Institucional de la Universidad de Granada
Universidad de Granada (UGR)
Digibug. Repositorio Institucional de la Universidad de Granada
instname
Universe
Volume 6
Issue 4
Digibug: Repositorio Institucional de la Universidad de Granada
Universidad de Granada (UGR)
Physical foundations for relativistic spacetimes are revisited in order to check at what extent Finsler spacetimes lie in their framework. Arguments based on inertial observers (as in the foundations of special relativity and classical mechanics) are
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::58de61ead53fefec2ce8b612df89b07e
http://hdl.handle.net/10481/62663
http://hdl.handle.net/10481/62663
Autor:
Miguel Angel Javaloyes, Bruno Soares
In this paper, we prove that lightlike geodesics of a pseudo-Finsler manifold and its focal points are preserved up to reparametrization by anisotropic conformal changes, using the Chern connection and the anisotropic calculus and the fact that geode
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8fdf3200829a0f573fe4c54bd37f438e
A general framework for the description of classic wave propagation is introduced. This relies on a cone structure $C$ determined by an intrinsic space $\Sigma$ of velocities of propagation (point, direction and time-dependent) and an observers' vect
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d8b1f1bcf9f967358dea20b09088a825
Autor:
Miguel Angel Javaloyes
We show how to compute tensor derivatives and curvature tensors using affine connections. This allows for all computations to be obtained without using coordinate systems, in a way that parallels the computations appearing in classical Riemannian Geo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e9bef0b0b0cb92b663fb6c83a156d075
Publikováno v:
Journal of Geometry and Physics. 163:104120
Using the relativistic Fermat’s principle, we establish a bridge between stationary–complete manifolds which satisfy the observer-manifold condition and pre-Randers metrics, namely, Randers metrics without any restriction on the one-form. As a co